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Simplifying 3(2x + -14) + x = 15 + -9x + -5 Reorder the terms: 3(-14 + 2x) + x = 15 + -9x + -5 (-14 * 3 + 2x * 3) + x = 15 + -9x + -5 (-42 + 6x) + x = 15 + -9x + -5 Combine like terms: 6x + x = 7x -42 + 7x = 15 + -9x + -5 Reorder the terms: -42 + 7x = 15 + -5 + -9x Combine like terms: 15 + -5 = 10 -42 + 7x = 10 + -9x Solving -42 + 7x = 10 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -42 + 7x + 9x = 10 + -9x + 9x Combine like terms: 7x + 9x = 16x -42 + 16x = 10 + -9x + 9x Combine like terms: -9x + 9x = 0 -42 + 16x = 10 + 0 -42 + 16x = 10 Add '42' to each side of the equation. -42 + 42 + 16x = 10 + 42 Combine like terms: -42 + 42 = 0 0 + 16x = 10 + 42 16x = 10 + 42 Combine like terms: 10 + 42 = 52 16x = 52 Divide each side by '16'. x = 3.25 Simplifying x = 3.25
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